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Finding the Fourth Proportional to 4,254, 5,870.58 and 2,598

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Solution

The fourth proportional to 4,254, 5,870.58 and 2,598 is: 3,585.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254 : 5,870.58 = 2,598 : x
  2. Step 2: Convert to fraction form
    4,254/5,870.58 = 2,598/x
  3. Step 3: Cross multiply
    4,254x = 5,870.58 × 2,598
  4. Step 4: Simplify right side
    4,254x = 15,251,766.84
  5. Step 5: Solve for x
    x = 15,251,766.84/4,254
  6. Step 6: Final answer
    x = 3,585.28

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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.