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Finding the Fourth Proportional to 4,970.84, 7,458.68 and 4,353.62

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Solution

The fourth proportional to 4,970.84, 7,458.68 and 4,353.62 is: 6,532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.84 : 7,458.68 = 4,353.62 : x
  2. Step 2: Convert to fraction form
    4,970.84/7,458.68 = 4,353.62/x
  3. Step 3: Cross multiply
    4,970.84x = 7,458.68 × 4,353.62
  4. Step 4: Simplify right side
    4,970.84x = 32,472,232.01
  5. Step 5: Solve for x
    x = 32,472,232.01/4,970.84
  6. Step 6: Final answer
    x = 6,532.55

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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.