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Finding the Fourth Proportional to 4,985.51, 7,477.65 and 1,698.53

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Solution

The fourth proportional to 4,985.51, 7,477.65 and 1,698.53 is: 2,547.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,985.51 : 7,477.65 = 1,698.53 : x
  2. Step 2: Convert to fraction form
    4,985.51/7,477.65 = 1,698.53/x
  3. Step 3: Cross multiply
    4,985.51x = 7,477.65 × 1,698.53
  4. Step 4: Simplify right side
    4,985.51x = 12,700,975.47
  5. Step 5: Solve for x
    x = 12,700,975.47/4,985.51
  6. Step 6: Final answer
    x = 2,547.58

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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.