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Finding the Fourth Proportional to 5,368.96, 8,052.53 and 1,420.26

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Solution

The fourth proportional to 5,368.96, 8,052.53 and 1,420.26 is: 2,130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.96 : 8,052.53 = 1,420.26 : x
  2. Step 2: Convert to fraction form
    5,368.96/8,052.53 = 1,420.26/x
  3. Step 3: Cross multiply
    5,368.96x = 8,052.53 × 1,420.26
  4. Step 4: Simplify right side
    5,368.96x = 11,436,686.26
  5. Step 5: Solve for x
    x = 11,436,686.26/5,368.96
  6. Step 6: Final answer
    x = 2,130.15

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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.