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Finding the Fourth Proportional to 5,369.84, 8,053.85 and 1,421.15

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Solution

The fourth proportional to 5,369.84, 8,053.85 and 1,421.15 is: 2,131.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.84 : 8,053.85 = 1,421.15 : x
  2. Step 2: Convert to fraction form
    5,369.84/8,053.85 = 1,421.15/x
  3. Step 3: Cross multiply
    5,369.84x = 8,053.85 × 1,421.15
  4. Step 4: Simplify right side
    5,369.84x = 11,445,681.55
  5. Step 5: Solve for x
    x = 11,445,681.55/5,369.84
  6. Step 6: Final answer
    x = 2,131.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.