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Finding the Fourth Proportional to 4,970.16, 7,464.66 and 4,770.72

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Solution

The fourth proportional to 4,970.16, 7,464.66 and 4,770.72 is: 7,165.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.16 : 7,464.66 = 4,770.72 : x
  2. Step 2: Convert to fraction form
    4,970.16/7,464.66 = 4,770.72/x
  3. Step 3: Cross multiply
    4,970.16x = 7,464.66 × 4,770.72
  4. Step 4: Simplify right side
    4,970.16x = 35,611,802.76
  5. Step 5: Solve for x
    x = 35,611,802.76/4,970.16
  6. Step 6: Final answer
    x = 7,165.12

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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.