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Finding the Fourth Proportional to 4,014, 5,539.80 and 2,358

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Solution

The fourth proportional to 4,014, 5,539.80 and 2,358 is: 3,254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014 : 5,539.80 = 2,358 : x
  2. Step 2: Convert to fraction form
    4,014/5,539.80 = 2,358/x
  3. Step 3: Cross multiply
    4,014x = 5,539.80 × 2,358
  4. Step 4: Simplify right side
    4,014x = 13,062,848.40
  5. Step 5: Solve for x
    x = 13,062,848.40/4,014
  6. Step 6: Final answer
    x = 3,254.32

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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.