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Finding the Fourth Proportional to 4,658.94, 6,986.93 and 1,538.36

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Solution

The fourth proportional to 4,658.94, 6,986.93 and 1,538.36 is: 2,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.94 : 6,986.93 = 1,538.36 : x
  2. Step 2: Convert to fraction form
    4,658.94/6,986.93 = 1,538.36/x
  3. Step 3: Cross multiply
    4,658.94x = 6,986.93 × 1,538.36
  4. Step 4: Simplify right side
    4,658.94x = 10,748,423.41
  5. Step 5: Solve for x
    x = 10,748,423.41/4,658.94
  6. Step 6: Final answer
    x = 2,307.05

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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.