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Finding the Fourth Proportional to 4,699.54, 6,486 and 2,710.06

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Solution

The fourth proportional to 4,699.54, 6,486 and 2,710.06 is: 3,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.54 : 6,486 = 2,710.06 : x
  2. Step 2: Convert to fraction form
    4,699.54/6,486 = 2,710.06/x
  3. Step 3: Cross multiply
    4,699.54x = 6,486 × 2,710.06
  4. Step 4: Simplify right side
    4,699.54x = 17,577,449.16
  5. Step 5: Solve for x
    x = 17,577,449.16/4,699.54
  6. Step 6: Final answer
    x = 3,740.25

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Why These Related Problems?

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