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Finding the Fourth Proportional to 4,829.64, 6,678.90 and 4,742.16

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Solution

The fourth proportional to 4,829.64, 6,678.90 and 4,742.16 is: 6,557.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.64 : 6,678.90 = 4,742.16 : x
  2. Step 2: Convert to fraction form
    4,829.64/6,678.90 = 4,742.16/x
  3. Step 3: Cross multiply
    4,829.64x = 6,678.90 × 4,742.16
  4. Step 4: Simplify right side
    4,829.64x = 31,672,412.42
  5. Step 5: Solve for x
    x = 31,672,412.42/4,829.64
  6. Step 6: Final answer
    x = 6,557.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.