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Finding the Fourth Proportional to 4,742.30, 6,543.51 and 4,078.10

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Solution

The fourth proportional to 4,742.30, 6,543.51 and 4,078.10 is: 5,627.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.30 : 6,543.51 = 4,078.10 : x
  2. Step 2: Convert to fraction form
    4,742.30/6,543.51 = 4,078.10/x
  3. Step 3: Cross multiply
    4,742.30x = 6,543.51 × 4,078.10
  4. Step 4: Simplify right side
    4,742.30x = 26,685,088.13
  5. Step 5: Solve for x
    x = 26,685,088.13/4,742.30
  6. Step 6: Final answer
    x = 5,627.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.