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Finding the Fourth Proportional to 4,842.44, 7,267.32 and 3,547.28

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Solution

The fourth proportional to 4,842.44, 7,267.32 and 3,547.28 is: 5,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.44 : 7,267.32 = 3,547.28 : x
  2. Step 2: Convert to fraction form
    4,842.44/7,267.32 = 3,547.28/x
  3. Step 3: Cross multiply
    4,842.44x = 7,267.32 × 3,547.28
  4. Step 4: Simplify right side
    4,842.44x = 25,779,218.89
  5. Step 5: Solve for x
    x = 25,779,218.89/4,842.44
  6. Step 6: Final answer
    x = 5,323.60

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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.