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Finding the Fourth Proportional to 4,686.76, 7,030 and 1,224.01

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Solution

The fourth proportional to 4,686.76, 7,030 and 1,224.01 is: 1,835.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.76 : 7,030 = 1,224.01 : x
  2. Step 2: Convert to fraction form
    4,686.76/7,030 = 1,224.01/x
  3. Step 3: Cross multiply
    4,686.76x = 7,030 × 1,224.01
  4. Step 4: Simplify right side
    4,686.76x = 8,604,790.30
  5. Step 5: Solve for x
    x = 8,604,790.30/4,686.76
  6. Step 6: Final answer
    x = 1,835.98

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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.