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Finding the Fourth Proportional to 4,695.36, 6,477.12 and 2,925.12

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Solution

The fourth proportional to 4,695.36, 6,477.12 and 2,925.12 is: 4,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.36 : 6,477.12 = 2,925.12 : x
  2. Step 2: Convert to fraction form
    4,695.36/6,477.12 = 2,925.12/x
  3. Step 3: Cross multiply
    4,695.36x = 6,477.12 × 2,925.12
  4. Step 4: Simplify right side
    4,695.36x = 18,946,353.25
  5. Step 5: Solve for x
    x = 18,946,353.25/4,695.36
  6. Step 6: Final answer
    x = 4,035.12

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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.