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Finding the Fourth Proportional to 4,670.04, 6,444 and 2,574.30

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Solution

The fourth proportional to 4,670.04, 6,444 and 2,574.30 is: 3,552.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.04 : 6,444 = 2,574.30 : x
  2. Step 2: Convert to fraction form
    4,670.04/6,444 = 2,574.30/x
  3. Step 3: Cross multiply
    4,670.04x = 6,444 × 2,574.30
  4. Step 4: Simplify right side
    4,670.04x = 16,588,789.20
  5. Step 5: Solve for x
    x = 16,588,789.20/4,670.04
  6. Step 6: Final answer
    x = 3,552.17

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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.