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Finding the Fourth Proportional to 6,129.50, 8,458.86 and 3,335

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Solution

The fourth proportional to 6,129.50, 8,458.86 and 3,335 is: 4,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.50 : 8,458.86 = 3,335 : x
  2. Step 2: Convert to fraction form
    6,129.50/8,458.86 = 3,335/x
  3. Step 3: Cross multiply
    6,129.50x = 8,458.86 × 3,335
  4. Step 4: Simplify right side
    6,129.50x = 28,210,298.10
  5. Step 5: Solve for x
    x = 28,210,298.10/6,129.50
  6. Step 6: Final answer
    x = 4,602.38

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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.