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Finding the Fourth Proportional to 4,719.32, 7,064.40 and 4,316.12

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Solution

The fourth proportional to 4,719.32, 7,064.40 and 4,316.12 is: 6,460.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719.32 : 7,064.40 = 4,316.12 : x
  2. Step 2: Convert to fraction form
    4,719.32/7,064.40 = 4,316.12/x
  3. Step 3: Cross multiply
    4,719.32x = 7,064.40 × 4,316.12
  4. Step 4: Simplify right side
    4,719.32x = 30,490,798.13
  5. Step 5: Solve for x
    x = 30,490,798.13/4,719.32
  6. Step 6: Final answer
    x = 6,460.85

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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.