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Finding the Fourth Proportional to 4,663.36, 6,430.88 and 2,984.16

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Solution

The fourth proportional to 4,663.36, 6,430.88 and 2,984.16 is: 4,115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.36 : 6,430.88 = 2,984.16 : x
  2. Step 2: Convert to fraction form
    4,663.36/6,430.88 = 2,984.16/x
  3. Step 3: Cross multiply
    4,663.36x = 6,430.88 × 2,984.16
  4. Step 4: Simplify right side
    4,663.36x = 19,190,774.86
  5. Step 5: Solve for x
    x = 19,190,774.86/4,663.36
  6. Step 6: Final answer
    x = 4,115.22

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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.