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Finding the Fourth Proportional to 4,698.40, 6,484.16 and 2,930.24

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Solution

The fourth proportional to 4,698.40, 6,484.16 and 2,930.24 is: 4,043.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.40 : 6,484.16 = 2,930.24 : x
  2. Step 2: Convert to fraction form
    4,698.40/6,484.16 = 2,930.24/x
  3. Step 3: Cross multiply
    4,698.40x = 6,484.16 × 2,930.24
  4. Step 4: Simplify right side
    4,698.40x = 19,000,145.00
  5. Step 5: Solve for x
    x = 19,000,145.00/4,698.40
  6. Step 6: Final answer
    x = 4,043.96

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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.