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Finding the Fourth Proportional to 3,032.01, 4,547.37 and 840.15

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Solution

The fourth proportional to 3,032.01, 4,547.37 and 840.15 is: 1,260.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.01 : 4,547.37 = 840.15 : x
  2. Step 2: Convert to fraction form
    3,032.01/4,547.37 = 840.15/x
  3. Step 3: Cross multiply
    3,032.01x = 4,547.37 × 840.15
  4. Step 4: Simplify right side
    3,032.01x = 3,820,472.91
  5. Step 5: Solve for x
    x = 3,820,472.91/3,032.01
  6. Step 6: Final answer
    x = 1,260.05

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