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Finding the Fourth Proportional to 5,246.04, 7,866.35 and 1,547.80

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Solution

The fourth proportional to 5,246.04, 7,866.35 and 1,547.80 is: 2,320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.04 : 7,866.35 = 1,547.80 : x
  2. Step 2: Convert to fraction form
    5,246.04/7,866.35 = 1,547.80/x
  3. Step 3: Cross multiply
    5,246.04x = 7,866.35 × 1,547.80
  4. Step 4: Simplify right side
    5,246.04x = 12,175,528.79
  5. Step 5: Solve for x
    x = 12,175,528.79/5,246.04
  6. Step 6: Final answer
    x = 2,320.90

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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.