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Finding the Fourth Proportional to 5,547.34, 8,322.90 and 2,948.50

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Solution

The fourth proportional to 5,547.34, 8,322.90 and 2,948.50 is: 4,423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.34 : 8,322.90 = 2,948.50 : x
  2. Step 2: Convert to fraction form
    5,547.34/8,322.90 = 2,948.50/x
  3. Step 3: Cross multiply
    5,547.34x = 8,322.90 × 2,948.50
  4. Step 4: Simplify right side
    5,547.34x = 24,540,070.65
  5. Step 5: Solve for x
    x = 24,540,070.65/5,547.34
  6. Step 6: Final answer
    x = 4,423.75

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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.