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Finding the Fourth Proportional to 6,041.86, 8,342.85 and 4,547.20

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Solution

The fourth proportional to 6,041.86, 8,342.85 and 4,547.20 is: 6,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,041.86 : 8,342.85 = 4,547.20 : x
  2. Step 2: Convert to fraction form
    6,041.86/8,342.85 = 4,547.20/x
  3. Step 3: Cross multiply
    6,041.86x = 8,342.85 × 4,547.20
  4. Step 4: Simplify right side
    6,041.86x = 37,936,607.52
  5. Step 5: Solve for x
    x = 37,936,607.52/6,041.86
  6. Step 6: Final answer
    x = 6,278.96

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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.