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Finding the Fourth Proportional to 4,694, 6,477.77 and 2,598.17

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Solution

The fourth proportional to 4,694, 6,477.77 and 2,598.17 is: 3,585.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694 : 6,477.77 = 2,598.17 : x
  2. Step 2: Convert to fraction form
    4,694/6,477.77 = 2,598.17/x
  3. Step 3: Cross multiply
    4,694x = 6,477.77 × 2,598.17
  4. Step 4: Simplify right side
    4,694x = 16,830,347.68
  5. Step 5: Solve for x
    x = 16,830,347.68/4,694
  6. Step 6: Final answer
    x = 3,585.50

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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.