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Finding the Fourth Proportional to 5,354.62, 8,030.94 and 1,656.16

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Solution

The fourth proportional to 5,354.62, 8,030.94 and 1,656.16 is: 2,483.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.62 : 8,030.94 = 1,656.16 : x
  2. Step 2: Convert to fraction form
    5,354.62/8,030.94 = 1,656.16/x
  3. Step 3: Cross multiply
    5,354.62x = 8,030.94 × 1,656.16
  4. Step 4: Simplify right side
    5,354.62x = 13,300,521.59
  5. Step 5: Solve for x
    x = 13,300,521.59/5,354.62
  6. Step 6: Final answer
    x = 2,483.93

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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.