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Finding the Fourth Proportional to 4,156.04, 6,234 and 1,036.06

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Solution

The fourth proportional to 4,156.04, 6,234 and 1,036.06 is: 1,554.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.04 : 6,234 = 1,036.06 : x
  2. Step 2: Convert to fraction form
    4,156.04/6,234 = 1,036.06/x
  3. Step 3: Cross multiply
    4,156.04x = 6,234 × 1,036.06
  4. Step 4: Simplify right side
    4,156.04x = 6,458,798.04
  5. Step 5: Solve for x
    x = 6,458,798.04/4,156.04
  6. Step 6: Final answer
    x = 1,554.08

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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.