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Finding the Fourth Proportional to 4,950.16, 7,430.70 and 2,030.50

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Solution

The fourth proportional to 4,950.16, 7,430.70 and 2,030.50 is: 3,047.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.16 : 7,430.70 = 2,030.50 : x
  2. Step 2: Convert to fraction form
    4,950.16/7,430.70 = 2,030.50/x
  3. Step 3: Cross multiply
    4,950.16x = 7,430.70 × 2,030.50
  4. Step 4: Simplify right side
    4,950.16x = 15,088,036.35
  5. Step 5: Solve for x
    x = 15,088,036.35/4,950.16
  6. Step 6: Final answer
    x = 3,047.99

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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.