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Finding the Fourth Proportional to 4,745.30, 7,117.15 and 1,457.50

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Solution

The fourth proportional to 4,745.30, 7,117.15 and 1,457.50 is: 2,186.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.30 : 7,117.15 = 1,457.50 : x
  2. Step 2: Convert to fraction form
    4,745.30/7,117.15 = 1,457.50/x
  3. Step 3: Cross multiply
    4,745.30x = 7,117.15 × 1,457.50
  4. Step 4: Simplify right side
    4,745.30x = 10,373,246.13
  5. Step 5: Solve for x
    x = 10,373,246.13/4,745.30
  6. Step 6: Final answer
    x = 2,186.00

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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.