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Finding the Fourth Proportional to 3,547.18, 5,320.62 and 1,466.62

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Solution

The fourth proportional to 3,547.18, 5,320.62 and 1,466.62 is: 2,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.18 : 5,320.62 = 1,466.62 : x
  2. Step 2: Convert to fraction form
    3,547.18/5,320.62 = 1,466.62/x
  3. Step 3: Cross multiply
    3,547.18x = 5,320.62 × 1,466.62
  4. Step 4: Simplify right side
    3,547.18x = 7,803,327.70
  5. Step 5: Solve for x
    x = 7,803,327.70/3,547.18
  6. Step 6: Final answer
    x = 2,199.87

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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.