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Finding the Fourth Proportional to 4,655.84, 6,983.58 and 1,577.84

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Solution

The fourth proportional to 4,655.84, 6,983.58 and 1,577.84 is: 2,366.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.84 : 6,983.58 = 1,577.84 : x
  2. Step 2: Convert to fraction form
    4,655.84/6,983.58 = 1,577.84/x
  3. Step 3: Cross multiply
    4,655.84x = 6,983.58 × 1,577.84
  4. Step 4: Simplify right side
    4,655.84x = 11,018,971.87
  5. Step 5: Solve for x
    x = 11,018,971.87/4,655.84
  6. Step 6: Final answer
    x = 2,366.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.