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Finding the Fourth Proportional to 5,874.74, 8,812.24 and 2,365.10

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Solution

The fourth proportional to 5,874.74, 8,812.24 and 2,365.10 is: 3,547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.74 : 8,812.24 = 2,365.10 : x
  2. Step 2: Convert to fraction form
    5,874.74/8,812.24 = 2,365.10/x
  3. Step 3: Cross multiply
    5,874.74x = 8,812.24 × 2,365.10
  4. Step 4: Simplify right side
    5,874.74x = 20,841,828.82
  5. Step 5: Solve for x
    x = 20,841,828.82/5,874.74
  6. Step 6: Final answer
    x = 3,547.70

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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.